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natali 33 [55]
3 years ago
5

8. The two trapezoids in the figure are similar. What is the value of x?

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer:19.2

Step-by-step explanation:

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Express the given quantity as a single logarithm and simplify: 3logx+2log(y-2)-5logx
storchak [24]
Simplify each term<span>.</span>
Simplify <span>3log(x)</span><span> by moving </span>3<span> inside the </span>logarithm<span>. 
</span><span>log(<span>x^3</span>)+2log(y−1)−5log(x)</span><span> 
</span>
Simplify <span>2log(y−1)</span><span> by moving </span>2<span> inside the </span>logarithm<span>. 
</span><span>log(<span>x^3</span>)+log((y−1<span>)^2</span>)−5log(x)</span><span> 
</span>
Rewrite <span>(y−1<span>)^2</span></span><span> as </span><span><span>(y−1)(y−1)</span>.</span><span> 
</span><span>log(<span>x^3</span>)+log((y−1)(y−1))−5log(x)</span><span> 
</span>
Expand <span>(y−1)(y−1)</span><span> using the </span>FOIL<span> Method. 
</span><span>log(<span>x^3</span>)+log(y(y)+y(−1)−1(y)−1(−1))−5log(x)</span><span> 
</span>
Simplify each term<span>. 
</span><span>log(<span>x^3</span>)+log(<span>y^2</span>−2y+1)+log(<span>x^<span>−5</span></span>)</span><span> 

</span>Remove the negative exponent<span> by rewriting </span><span>x^<span>−5</span></span><span> as </span><span><span>1/<span>x^5</span></span>.</span><span> 
</span><span>log(<span>x^3</span>)+log(<span>y^2</span>−2y+1)+log(<span>1/<span>x^5</span></span>)</span><span> 
</span>
Combine<span> logs to get </span><span>log(<span>x^3</span>(<span>y^2</span>−2y+1))
</span><span>log(<span>x^3</span>(<span>y^2</span>−2y+1))+log(<span>1/<span>x^5</span></span>)

</span>Combine<span> logs to get </span><span>log(<span><span><span>x^3</span>(<span>y^2</span>−2y+1)/</span><span>x^5</span></span>)</span><span> 
</span>log(x^3(y^2−2y+1)/x^5)

Cancel <span>x^3</span><span> in the </span>numerator<span> and </span>denominator<span>. 
</span><span>log(<span><span><span>y^2</span>−2y+1/</span><span>x^2</span></span>)</span><span> 

</span>Rewrite 1<span> as </span><span><span>1^2</span>.</span> 
<span><span>y^2</span>−2y+<span>1^2/</span></span><span>x^2</span>

Factor<span> by </span>perfect square<span> rule. 
</span><span>(y−1<span>)^2/</span></span><span>x^2</span>

Replace into larger expression<span>. 
</span>
<span>log(<span><span>(y−1<span>)^2/</span></span><span>x^2</span></span>)</span> 
3 0
3 years ago
I do need help please. Just number 14 :)
Ainat [17]
The difference between the coat cost for Delaware vs Fairfield is $0.60

Explanation:
For Delaware: 80 × .0725 = $5.80
80+5.80= $85.80

For Fairfield: 80 × .065 = $5.20
80+5.20=$85.20

85.80-85.20=0.60
7 0
3 years ago
Read 2 more answers
What is 0.888 into a fraction, is it over 100ths or 1,000's?
Bingel [31]

Thanks for using Brainly!

0.888 = 111/125 = 88.8percent

I just gave you 0.888 is it's fraction and percentage.

First, 111/125 is the simplified answer and is over the 100th and is not big enough for the 1,000's.

Second, 111/125 as a percentage is 88.8%.

Have a great day.

8 0
2 years ago
Maya's new puppy weighs 3 5/8 pounds. He will gain an average of 3/5 pound each week until he reaches adult weight. Which equati
Aliun [14]

Answer:

3 5/8 + 3/5w = t

Step-by-step explanation:

The puppy is gaining each week so, 3/5w

you want to include the original weight so, +3 5/8

equals total weight, = t

6 0
3 years ago
Please answer the sum correctly
damaskus [11]

33tomato and 23 chicken that equals 56 and hasn’t a difference of 10. Hope that helps

4 0
3 years ago
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